Volume 11 Number 4
August 2014
Article Contents
Paramita Guha and Sunita Mishra. Reduced Order Modeling & Controller Design for Mass Transfer in a Grain Storage System. International Journal of Automation and Computing, vol. 11, no. 4, pp. 399-403, 2014. doi: 10.1007/s11633-014-0805-6
Cite as: Paramita Guha and Sunita Mishra. Reduced Order Modeling & Controller Design for Mass Transfer in a Grain Storage System. International Journal of Automation and Computing, vol. 11, no. 4, pp. 399-403, 2014. doi: 10.1007/s11633-014-0805-6

Reduced Order Modeling & Controller Design for Mass Transfer in a Grain Storage System

  • Received: 2013-03-01
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Reduced Order Modeling & Controller Design for Mass Transfer in a Grain Storage System

Abstract: This paper considers the problem of simulating the humidity distributions of a grain storage system. The distributions are described by partial differential equations (PDE). It is quite difficult to obtain the humidity profiles from the PDE model. Hence, a discretization method is applied to obtain an equivalent ordinary differential equation model. However, after applying the discretization technique, the cost of solving the system increases as the size increases to a few thousands. It may be noted that after discretization, the degree of freedom of the system remain the same while the order increases. The large dynamic model is reduced using a proper orthogonal decomposition based technique and an equivalent model but of much reduced size is obtained. A controller based on optimal control theory is designed to obtain an input such that the output humidity reaches a desired profile and also its stability is analyzed. Numerical results are presented to show the validity of the reduced model and possible further extensions are identified.

Paramita Guha and Sunita Mishra. Reduced Order Modeling & Controller Design for Mass Transfer in a Grain Storage System. International Journal of Automation and Computing, vol. 11, no. 4, pp. 399-403, 2014. doi: 10.1007/s11633-014-0805-6
Citation: Paramita Guha and Sunita Mishra. Reduced Order Modeling & Controller Design for Mass Transfer in a Grain Storage System. International Journal of Automation and Computing, vol. 11, no. 4, pp. 399-403, 2014. doi: 10.1007/s11633-014-0805-6
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